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Finding the Fourth Proportional to 6,490.40, 8,957 and 3,658.90

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Solution

The fourth proportional to 6,490.40, 8,957 and 3,658.90 is: 5,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.40 : 8,957 = 3,658.90 : x
  2. Step 2: Convert to fraction form
    6,490.40/8,957 = 3,658.90/x
  3. Step 3: Cross multiply
    6,490.40x = 8,957 × 3,658.90
  4. Step 4: Simplify right side
    6,490.40x = 32,772,767.30
  5. Step 5: Solve for x
    x = 32,772,767.30/6,490.40
  6. Step 6: Final answer
    x = 5,049.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.